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B is P percent of what

Formula for calculating number A when P percent of it is B

A = B · 100%
P

For the derivation of this equation using the method of solving problems with percentage

"All" = 100%   =>   "All" = "Part" · "100%"
"Part""Part in %"Part in %

Examples of solving problems: find number A when P percent of it is B

Example 1.
40 is 5% of what?

Solution.

40 · 100% = 800
5%

Answer: 800.



Example 2.
270 women working in the plant. This is 30% of all workers. How many people work at the plant?

Solution.

270 · 100% = 900
30%

Answer: 900 people work at the plant.



Example 3.
How much you need to put on deposit at 10% per annum to a year to make a profit of 1000$.

Solution.

1000 · 100% = 10000
10%

Answer: deposit must be 10,000$.

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